Titelaufnahme

Titel
An improved numerical method for balanced truncation for symmetric second order systems / Peter Benner, Patrick Kürschner, Jens Saak
VerfasserBenner, Peter ; Kürschner, Patrick ; Saak, Jens
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, November 8, 2012
Umfang1 Online-Ressource (24 Seiten = 0,52 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 12-20
URNurn:nbn:de:gbv:3:2-64127 
Zugriffsbeschränkung
 Das Dokument ist frei verfügbar
Dateien
An improved numerical method for balanced truncation for symmetric second order systems [0.52 mb]
Links
Nachweis
Kein Nachweis verfügbar
Klassifikation
Keywords
Abstract: We consider balanced truncation model order reduction for symmetric second order systems. The occurring large-scale generalized and structured Lyapunov equations are solved with a specially adapted low-rank ADI type method. Stopping criteria for this iteration are investigated and a new result concerning the Lyapunov residual within the low-rank ADI method is established. We also propose a goal oriented stopping criterion which tries to incorporate the balanced truncation approach already during the ADI iteration. The model reduction approach using the ADI method with different stopping criteria is evaluated on several test systems.